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Finding the Third Proportional to 177,624 and 384,408

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Solution

The third proportional to 177,624 and 384,408 is: 831,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,624 : 384,408 = 384,408 : x
  2. Step 2: Convert to fraction form
    177,624/384,408 = 384,408/x
  3. Step 3: Cross multiply
    177,624x = 384,408 × 384,408
  4. Step 4: Simplify right side
    177,624x = 147,769,510,464
  5. Step 5: Solve for x
    x = 147,769,510,464/177,624
  6. Step 6: Final answer
    x = 831,923.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.